Math, asked by eliajark, 3 months ago

if the sum of two number is 3 and the sum of their square is 12 then their product equal to?​

Answers

Answered by tennetiraj86
1

Step-by-step explanation:

Given:-

The sum of two numbers is 3 and the sum of their squares is 12.

To find:-

The value of their product of the two numbers ?

Solution:-

Let the numbers be X and Y

The sum of two numbers = 3

X+Y = 3 -----------------(1)

Sum of their squares = 12

X^2 + Y^2 = 12 -------(2)

On squaring the equation (1) both sides then

=>(X+Y)^2 = 3^2

We know that

(a+b)^2 = a^2 +2ab +b^2

=>X^2 +2XY +Y^2 = 9

=>(X^2+y^2) +2XY = 9

=>12 + 2XY = 9 (from (1))

=>2XY = 9-12

=>2XY = -3

=>XY = -3/2

The product of two numbers = -3/2

Answer:-

The product of two numbers = -3/2

Used formula:-

  • (a+b)^2 = a^2 +2ab +b^2
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